Home
Class 12
MATHS
Column I, Column II A circular pla...

Column I, Column II A circular plate is expanded by heat from radius 6 cm to 6.06 cm. Approximate increase in the area is, p. 5 If an edge of a cube increases by 2%, then the percentage increase in the volume is, q. 0.72 `pi` If the rate of decrease of `(x^2)/2-2x+5` is thrice the rate of decrease of `x ,` then `x` is equal to (rate of decrease in nonzero)., r. 6 The rate of increase in the area of an equailateral triangle of side `30c m ,` when each side increases at the rate of `0. 1c m//s` , is, s. `(3sqrt(3))/2`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

On being heated, the length of each side of a cube increases by 2%. What is the percentage increase in the volume of the cube?

If the radius of a spherical ballon increases by 0.1 % find approximately the percentage increase in volume.

If the rate of increasae of the side of a squre is 1 cm/sec , the rate of increase of the area of the square when its side 2 cm, is

If a copper wire is stretched to make its radius decrease by 0.15% . then the percentage increase in resistance is approximately

If the radius of a right circular cylinder is increased by 50% and height is decreased by 20%, then the percentage change in volume of cylinder is

The length of each side of an equilateral triangle increases at the rate of 2cm/sec. Find the rate of increase of the area of the triangle, when the length of each sides is 10cm.

The rate of change of surface area of a sphere of radius r when the radius is increasing at the rate of 2 cm/s. is proportional to

An edge of a variable cube is increasing at the rate of 2 cm//s . When the edge of a cube is 8 cm long, then its volume will increase at the rate of-

The rate of increase of a side of a square is 1 cm/sec. The rate of increase of area of the square, when length of a side of the square is 2 cm, is

The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  2. Separate the intervals of monotonocity of the function: f(x)=3x^4-8x^...

    Text Solution

    |

  3. Column I, Column II A circular plate is expanded by heat from ra...

    Text Solution

    |

  4. Find the total number of parallel tangents of f1(x)=x^2-x+1a n df2(x)=...

    Text Solution

    |

  5. Separate the intervals of monotonocity of the function: f(x)=-sin^3x+...

    Text Solution

    |

  6. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

    Text Solution

    |

  7. Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

    Text Solution

    |

  8. The ratio of capitals of three persons is 1:2:3 and the profit of 2nd ...

    Text Solution

    |

  9. There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...

    Text Solution

    |

  10. Prove theat the tangent drawn at any point to the curve f(x)=x^(5)+3x^...

    Text Solution

    |

  11. Show that height of the cylinder of greatest volume which can be ins...

    Text Solution

    |

  12. A curve is defined parametrically by the the equation x=t^(2) and y=t^...

    Text Solution

    |

  13. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  14. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  15. Statement 1: If f(x) is differentiable in [0,1] such that f(0)=f(...

    Text Solution

    |

  16. Find the equation of tangent to the curve y=sin^(-1)((2x)/(1+x^2)) a t...

    Text Solution

    |

  17. The lateral surface area of a cube is 169sq.cm., then the volume of th...

    Text Solution

    |

  18. Consider the polynomial function f(x)=x^7/7-x^6/6+x^5/5-x^4/4+x^3/3-x^...

    Text Solution

    |

  19. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  20. A sheet of area 40m^2 is used to make an open tank with square base. F...

    Text Solution

    |